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Finding the Fourth Proportional to 310,347.84, 465,551.84 and 123,317.44

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Solution

The fourth proportional to 310,347.84, 465,551.84 and 123,317.44 is: 184,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,347.84 : 465,551.84 = 123,317.44 : x
  2. Step 2: Convert to fraction form
    310,347.84/465,551.84 = 123,317.44/x
  3. Step 3: Cross multiply
    310,347.84x = 465,551.84 × 123,317.44
  4. Step 4: Simplify right side
    310,347.84x = 57,410,661,096.09
  5. Step 5: Solve for x
    x = 57,410,661,096.09/310,347.84
  6. Step 6: Final answer
    x = 184,988.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.